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#### Standard Position

Definition of Standard Position

Angle in standard position is an angle drawn on the x-y plane with its vertex at the origin and its initial side along the positive x-axis.

• If the terminal side of an angle in standard position turns counterclockwise, then the angle is positive.
• If the terminal side of an angle in standard position turns clockwise, then the angle is negative.

### Examples of Standard Position

• The figure below shows a positive angle.

• The figure below shows a negative angle.

### Solved Example on Standard Position

A lighthouse makes an angle of 130° from ship due north as shown in the figure. Find the location of the lighthouse in terms of an angle in standard position.

Choices:

A. 230°

B. 320°

C. 310°

D. 130°

Solution:

Step 1: The location of the lighthouse in terms of an angle in standard position is 360° - 40° = 320°.

Related Terms for Standard Position

• Angle
• x-axis
• Vertex
• Origin